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Numerical solution of non-linear elliptic boundary-value problems by isomorphic iterative methods |
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| Abstract: | New implicit iterative methods are presented for the efficient numerical solution of non-linear elliptic boundary-value problems. Isomorphic iterative schemes in conjunction with preconditioning techniques are used for solving non-linear elliptic equations in two and three-space dimensions. The application of the derived methods on characteristic 2D and 3D non-linear boundary-value problems is discussed and numerical results are given. |
| Keywords: | Iterative methods isomorphic methods preconditioning non-linear equations 3D boundary-value problems elliptic differential equations |